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Finding the Fourth Proportional to 3,475.70, 5,214.05 and 1,135.13

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Solution

The fourth proportional to 3,475.70, 5,214.05 and 1,135.13 is: 1,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.70 : 5,214.05 = 1,135.13 : x
  2. Step 2: Convert to fraction form
    3,475.70/5,214.05 = 1,135.13/x
  3. Step 3: Cross multiply
    3,475.70x = 5,214.05 × 1,135.13
  4. Step 4: Simplify right side
    3,475.70x = 5,918,592.83
  5. Step 5: Solve for x
    x = 5,918,592.83/3,475.70
  6. Step 6: Final answer
    x = 1,702.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.